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Popular Word Problems >

Vivian opened a savings account 8 years ago. The account earns 9% interest, compounded continuously. If the current balance is 400.00, how much did she deposit initially?

Solution

Vi v ian o p e n e d a s a v in g s a cco u n t 8 ye a rs a g o . T h e a cco u n t e a r n s 9% in t eres t, co m p o u n d e d co n t in u o u s l y . I f t h e c u rre n t ba l an ce i s 400.00, h o w m u c h d i d s h e d e p os i t ini t ia ll y ?

Solution

Principal : 194.7

Solution steps

Translate the problem into an equation:

400 = P e^{0.09 \cdot 8}

Solve for

P, 400 = P e^{0.09 \cdot 8} : P = 194.7

Principal : 194.7

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